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What is the Least Common Multiple of 2099 and 2106?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 2099 and 2106 is 4420494.

LCM(2099,2106) = 4420494

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Least Common Multiple of 2099 and 2106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2099 and 2106, than apply into the LCM equation.

GCF(2099,2106) = 1
LCM(2099,2106) = ( 2099 × 2106) / 1
LCM(2099,2106) = 4420494 / 1
LCM(2099,2106) = 4420494

Least Common Multiple (LCM) of 2099 and 2106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2099 and 2106. First we will calculate the prime factors of 2099 and 2106.

Prime Factorization of 2099

Prime factors of 2099 are 2099. Prime factorization of 2099 in exponential form is:

2099 = 20991

Prime Factorization of 2106

Prime factors of 2106 are 2, 3, 13. Prime factorization of 2106 in exponential form is:

2106 = 21 × 34 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 2099 and 2106.

LCM(2099,2106) = 20991 × 21 × 34 × 131
LCM(2099,2106) = 4420494